Growing Patterns — When the Step Changes (Grades 4–5)
In a growing pattern the step itself gets bigger each time: 1, 2, 4, 7, 11 grows by 1, then 2, then 3, then 4.
Understanding growing patterns
To extend it, look at the differences — if they increase steadily, add the next bigger step. Growing patterns are the bridge to square numbers and more advanced rules.
Seeing it in action
Worked example
Continue: 1, 2, 4, 7, __.
Differences: +1, +2, +3 — so the next step is +4. Next = 7 + 4 = 11.
The step changes in a pattern of its own.
A common mistake, and the fix
Adding the same step every time.
In 1, 2, 4, 7, 11 the first step is 1, so adding 1 again gives 12, but the steps are 1, 2, 3, 4, so the next step is 5 and the next term is 16. Write the differences under the pattern before deciding.
Try a few
1, 3, 6, 10, __
steps +2,+3,+4,+5.
3, 4, 6, 9, 13, __
steps +1,+2,+3,+4,+5.
1, 2, 4, 7, 11, __
next step +5.
Try it in Numeris.
A short lesson, then practice with feedback on every answer.
Put the reasoning on paper.
Try six fraction, angle, perimeter and area questions with explained answers, for grades 4–6.
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